I misread your title to be New York not New Years Eve so I came to help. But I got nothing. Figured the least I could do is give you a bump to get others to see it.
Heh - so did I! I'm from NYS and thought, "Oh, it must be like Jersey week, but for New Yorkers!" I was all excited.
To the OP, the crowd level will be at its highest (10 out of 10 according to touringplans) every day of your stay. Touring strategies are the same as for any other time of year; they're just more essential to your success. Yes, shifting to AK in the afternoon on the 'big days' is a good touring strategy, as crowds will be lower there because of the earlier close. Other than that, you want to follow the usual tactics: using EMH to hit headliners, arriving at rope drop every day, and taking a mid-day nap break from around 12-4pm, when the crowds are at their worst. Most people do MK early in the week, so hit it on a Wednesday or Thursday for slightly lower crowds, and start the week with HS or Epcot instead, and use AK as a "hop-to" park. If you can tolerate lots of hopping, go to the park with morning EMH for the first 2 hours, hop to a non-EMH park (because parks w/EMH have higher crowds throughout the day), and then if you want to go to evening EMH, hop to that park later. If you are eligible for FP+, choose those reservations wisely, and if you are allowed to get paper FPs during your trip as well, do it.
The biggest hurdle will be to manage expectations. It sounds like you already know what to expect, so you should be in good shape to tackle the challenge.